This publication is a translation of the 3rd variation of the good permitted German textbook 'Stochastik', which provides the elemental rules and result of either chance concept and statistics, and contains the fabric of a one-year path. The stochastic innovations, versions and strategies are inspired via examples and difficulties after which constructed and analysed systematically.

The 3rd variation of this article supplies a rigorous creation to likelihood idea and the dialogue of crucial random strategies in a few intensity. It comprises quite a few issues that are compatible for undergraduate classes, yet are usually not generally taught. it really is appropriate to the newbie, and will supply a flavor and encouragement for extra complex paintings.

The idea of stochastic methods listed by way of ordered set has been the topic of a lot study over the last two decades. the target of this CIME foreign summer time college used to be to convey to a wide viewers of younger probabilists the overall conception of spatial procedures, together with the idea of set-indexed martingales and to offer different branches of functions of this idea, together with stochastic geometry, spatial facts, empirical approaches, spatial estimators and survival research.